Use prime factors to find the H.C. F and
L.C.M
-168 and 196
-150 and 180

To convert sin to cos, you can use the identity that relates the two trigonometric functions: cos(x) = sin(x + (π/2)).

So, if you have an expression in terms of sin(x), you can convert it to an expression in terms of cos(x) by replacing sin(x) with sin(x + (π/2)), and then simplifying. Keep in mind that the period of cosine function is 2π, whereas the period of sine function is π. If you want to convert cos(x) to sin(x) you can use the same identity by replacing x with (x + π/2).

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False. If the mean of "u" (unobserved ability) is independent of education, it only means that the average level of ability is not affected by the level of education. It does not imply that the average level of ability is the same for all levels of education.

In economics, "u" is often used to represent unobserved ability or talent, which can affect an individual's income or job performance. If the mean of "u" is independent of education, it means that the average level of ability is not affected by the level of education, i.e., the mean of "u" is the same for all individuals regardless of their level of education.

However, it does not imply that the average level of ability is the same for all levels of education.

For example, individuals with higher levels of education may have higher levels of "u" on average, due to factors such as better access to resources, more opportunities for learning and development, or self-selection of individuals with higher levels of "u" into higher levels of education.

In such a case, the mean of "u" would still be independent of education, but the average level of ability would not be the same for all levels of education.

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A graph of a right triangle with the two points (−8, −6) and (1, 6) forming the hypotenuse is shown below.

The distance between the two points (−8, −6) and (1, 6) is 15 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(1 + 8)² + (6 + 6)²]

Distance = √[(9)² + (12)²]

Distance = √[81 + 144]

Distance = √225

Distance = 15 units.

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The surface area of the cylinder is approximately 401.92 square centimeters. To find the surface area of the cylinder, we need to add the area of the top and bottom circles to the area of the lateral surface.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the base, h is the height of the cylinder, and π ≈ 3.14.

Given that the radius is 8 cm and the height is also 8 cm, we can plug in the values in the formula:

SA = 2π(8²) + 2π(8)(8)

SA = 401.92

Rounding to the nearest hundredth, we get:

SA ≈ 401.92 square centimeters

Therefore, the surface area of the cylinder is approximately 401.92 square centimeters.

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The paper left over after making one circular card will be 255.80 centimeters².

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr² where 'r' is the radius of the circle

A teacher is making a circular placemat out of a square piece of paper with a side length of 14.5 centimeters

The diameter of each circular placemat is the same length as the side length of the paper.

The paper left over after making one circular card will be :

⇒ Area of square piece of paper - Area of circular placemat

⇒  (length of square piece)² + π × diameter of circular placemat

⇒ (14.5)² + π × 14.5 = 210.25 + 14.25π

⇒ 255.80 centimeters²

Thus, the paper left over after making one circular card will be 255.80 centimeters².

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Answer:

53361

Step-by-step explanation:

All you need to do is sub in 225 for x.

So: 225^2+12(225)+36

= 53361

Answer:

B

Step-by-step explanation:

6log x + 4log (x+6) = log \(x^{6}\) + log \((x + 6)^{4}\) = log \(x^{6}\)\((x + 6)^{4}\)

Answer:

14 squares high and 25 squares wide

Step-by-step explanation:

We are told the screen is 1,920 pixels wide and 1,080 pixels high.

Now, he wants to design a logo made up of squares that are each 75 pixels wide and 75 pixels high.

This means that;

Total possible number of square heights is;

n_h = 1080/75

n_h = 14.4

n_h ≈ 14 squares high

Total possible number of square widths is;

n_w = 1920/75

n_w = 25.6

Since we can't have 0.6 height and it's full height we need, then;

n_w = 25 squares wide.

Answer:

Jason eats 1/8=0.125 pounds of candy per day and it will take him 8 days to eat 1 pund of candy Hope Im not wrong

Step-by-step explanation:

Answer:

The length of MN, to the nearest tenth of a unit is equal to: C. 14.4 units.

In order to determine the missing side length of a geometric figure with the adjacent and hypotenuse side lengths given, you should apply the law of cosine:

C² = A² + B² - 2(A)(B)cosθ

Where:

A, B, and C is the length of side of a given triangle.

By substituting the given side lengths and angle into the law of cosine formula, we have the following;

MN² = LM² + LN² - 2(LM)(LN)cosθ

MN² = 12² + 10² - 2(12)(10)cos(52)

MN² = 144 + 100 - 147.76

MN = √96.24

MN = 9.8 units.

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The equation of the function is y = 60sin(1/15t) + 70 and it will take 92.45 unit of time to reach 100 feet above the ground

The given parameters are:

The function is represented as:

y = Asin(Bt + C) + D

Where:

B = 2π/T

So, we have:

B = 2π/π/30

Evaluate

B = 1/15

The equation becomes

y = 60sin(1/15t + 0) + 70

This gives

y = 60sin(1/15t) + 70

This means that:

t = 100

So, we have:

y = 60sin(1/15* 100) + 70

Evaluate

y = 92.45

Hence, it will take 92.45 unit of time to reach 100 feet above the ground

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Answer:

m=11

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

The length of the line segment is 13 unit.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.

(line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed)

We are given that coordinate plane shows Line A B.

We need to find the length of the line segment.

We can see that the graph has 1 unit equal to 1 cm.

Then the coordinate for Point B is (5, 13)

The length of the line segment is 13 unit.

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Answer:

Answer would be 89/100

Step-by-step explanation:

The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.

\(V_1 =\) VOLUME OF CYLINDRICAL TIN

   \(= \pi r^2 h\)

  \(=\frac{22}{7}\) x 6 x 6 x 14

  = 44 x 36

  = 1584 \(cm^3\)

\(V_2 =\) VOLUME OF RECTANGULAR TIN

    = lbh = 1584

    = (16)(11)(h) = 1584

    = 176h =1584

    = h = 1584 / 176

    = h = 9 cm

A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.

To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.

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Answer:

x^2+3x-4

Step-by-step explanation:

(x-1)(x+4)

x^2+4x-x-4

x^2+3x-4

Hope this helps ;) ❤❤❤

Answer:

y = x² + 3x -4

Step-by-step explanation:

we can use the FOIL formula

(x-1) (x+4)

x² + 4x - x -4

x² + 3x -4

therefore, the standard form would be y = x² + 3x -4

Answer:

I think the equation would be 345 = 121 + p

Answer:

y = -8

Step-by-step explanation:

Y2 - Y1/ X2 - X1

-8 - (-8) / -1 - (-8)

0 / 7

m = 0

y = mx + b

-8 = 0(-8) + b

-8 = 0 + b

-8 = b

y = -8

We are supposed to perform the operation and then write the answer in the form

\(\( a+b i \).\)

Let us solve the given problem step by step.

Solution:

We have been given a rational number and we are supposed to simplify it and write it in the form of a+bi. Therefore, let us first simplify the given rational number.

\($$\frac{6-i}{2+i}$$ T\)

o simplify this rational number, we will multiply numerator and denominator by the conjugate of the denominator i.e. \(\(2-i\).$$\frac{(6-i)(2-i)}{(2+i)(2-i)}$$$$\frac{12-6i-2i+i^2}{4-i^2}$$$$\frac{11-8i}{5}$$\)

Therefore, the given rational number is equivalent to \(\( \frac{11}{5}-\frac{8}{5} i \).\)So, option (C) is correct.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:a

Step-by-step explanation:

Because if you input 5 into -3x as the x axis, that turns in -15, then afterwards, you would add the 5 to -15 which then adds up to -10.

The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.

To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.

Sample 1: Range\(= 3.62 - 3.58 = 0.04\)

Sample 2: Range\(= 3.65 - 3.49 = 0.16\)

Sample 3: Range \(= 3.65 - 3.45 = 0.20\)

Sample 4: Range \(= 3.64 - 3.54 = 0.10\)

Sample 5: Range\(= 3.62 - 3.49 = 0.13\)

Next, we calculate the average of these sample ranges:

A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)

Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)

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Step-by-step explanation:

The numbers between the squares are the possible answers.

For example, 2/3 ÷ 3/4 is either 1/2 or 8/9.

2/3 ÷ 3/4

2/3 × 4/3

8/9

The answer is 8/9, so you'll move up to the next square.

Answer:

The figure below shows the graph of rational function f; It has vertical asymptotes x 2 andx = 4, and horizontal asymptote y = 0. The graph does not have an x-intercept, and it passes through the point (~3,-1). The equation for f (x) has one of the five forms shown below. Choose the appropriate form for f (x), and then write the equation: You can assume that f (x) is in simplest form_ 0 f() f() f ()

Answer:

Step-by-step explanation

To go from 1 to 2, you add one. To go from 2 to 4 you add two. To go from 4 to 7, you add three. Then you add 4. Then you add 5 and so on.

Answer:

4(45.6 - m) = 61.5

Step-by-step explanation:

Four times the difference between 45.6 and a number is equal to 61.5.

45.6 - m

Four times the difference between 45.6 and a number is equal to 61.5.

4(45.6 - m)

Four times the difference between 45.6 and a number is equal to 61.5.

4(45.6 - m) = 61.5

Answer:

The basic rule is: If you need to convert from a larger unit to a smaller unit, multiply. If you need to convert from a smaller unit to a larger unit, divide. You will make the number smaller and, as you already know, division is all about making numbers smaller.

Answer:

addiemoss23/this person wrote this NOT me, it is right btw

Step-by-step explanation:

To convert units into smaller units, multiply. When the units are smaller , you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger , you need fewer of them to express the same measure.

well, from the picture, the cylinder has a diameter of 12, thus a radius of 6 and a height of 40, so

\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h=40 \end{cases}\implies SA=2\pi (6)(40+6) \\\\\\ SA=12\pi (46)\implies\implies SA=552\pi\)